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Extensions of the Justen–Ramlau blind deconvolution method

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Abstract

Blind deconvolution problems arise in many image restoration applications. Most available blind deconvolution methods are iterative. Recently, Justen and Ramlau proposed a novel non-iterative blind deconvolution method. The method was derived under the assumption of periodic boundary conditions. These boundary conditions may introduce oscillatory artifacts into the computed restoration. We describe extensions of the Justen–Ramlau method that allow the use of Neumann and antireflective boundary conditions.

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Authors and Affiliations

  1. NASA Glenn Research Center, 21000 Brookpark Road, Cleveland, OH, 44135, USA

    Tristan A. Hearn

  2. Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA

    Tristan A. Hearn & Lothar Reichel

Authors
  1. Tristan A. Hearn
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  2. Lothar Reichel
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Correspondence to Lothar Reichel.

Additional information

Research by L. Reichel was supported in part by NSF grant DMS-1115385.

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Hearn, T.A., Reichel, L. Extensions of the Justen–Ramlau blind deconvolution method. Adv Comput Math 39, 465–491 (2013). https://doi.org/10.1007/s10444-012-9290-z

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  • DOI: https://doi.org/10.1007/s10444-012-9290-z

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